Computation of the acoustic field of arbitrary plane or spherical transducer

Abstract

For a transducer excited with an uniformly distributed velocity, the pressure is usually calculated as a convolution process between the diffraction impulse response h(r,t) and the time derivative function of the uniform distributed velocity applied to the transducer v0(t). h(r,t) functions are only known for few typical shapes, and their sampling leads to a long computation time. Thus, we propose to solve the convolution process between the time derivative function of h(r,t) and v0(t). We show that for an arbitrary plane or spherical transducer, this equation leads to a simple line integral. Experimental results confirm the validity of the method